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13124300013234 = 23210368331193323
BaseRepresentation
bin1011111011111011110100…
…1111010111111010110010
31201110200010000220110000100
42332332331033113322302
53210012031300410414
643525115321133230
72523125250313464
oct276767517277262
951420100813010
1013124300013234
1141aaa91231463
12157b6b162a216
13742801997cc7
1433531049a134
1517b5d6dc5609
hexbefbd3d7eb2

13124300013234 has 96 divisors (see below), whose sum is σ = 28771973867520. Its totient is φ = 4323261802464.

The previous prime is 13124300013233. The next prime is 13124300013239. The reversal of 13124300013234 is 43231000342131.

It is a happy number.

13124300013234 is a `hidden beast` number, since 1 + 3 + 124 + 300 + 0 + 1 + 3 + 234 = 666.

It is a super-3 number, since 3×131243000132343 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13124300013198 and 13124300013207.

It is not an unprimeable number, because it can be changed into a prime (13124300013233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3949531897 + ... + 3949535219.

It is an arithmetic number, because the mean of its divisors is an integer number (299708061120).

Almost surely, 213124300013234 is an apocalyptic number.

13124300013234 is an abundant number, since it is smaller than the sum of its proper divisors (15647673854286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13124300013234 is a wasteful number, since it uses less digits than its factorization.

13124300013234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13124300013234 its reverse (43231000342131), we get a palindrome (56355300355365).

The spelling of 13124300013234 in words is "thirteen trillion, one hundred twenty-four billion, three hundred million, thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 103 206 309 618 683 927 1366 1854 2049 3119 3323 4098 6147 6238 6646 9357 9969 12294 18714 19938 28071 29907 56142 59814 70349 140698 211047 321257 342269 422094 633141 642514 684538 963771 1026807 1266282 1927542 2053614 2130277 2269609 2891313 3080421 4260554 4539218 5782626 6160842 6390831 6808827 10364437 12781662 13617654 19172493 20426481 20728874 31093311 38344986 40852962 62186622 93279933 186559866 219418531 233769727 438837062 467539454 658255593 701309181 1067537011 1316511186 1402618362 1974766779 2103927543 2135074022 3202611033 3949533558 4207855086 6405222066 7078910471 9607833099 14157820942 19215666198 21236731413 42473462826 63710194239 127420388478 729127778513 1458255557026 2187383335539 4374766671078 6562150006617 13124300013234